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205638040 = 23543119557
BaseRepresentation
bin11000100000111…
…00100110011000
3112022221111100201
430100130212120
5410120404130
632223311544
75044615546
oct1420344630
9468844321
10205638040
11a60939a3
1258a4b5b4
13337ac61a
141d44cd96
15130bebca
hexc41c998

205638040 has 32 divisors (see below), whose sum is σ = 473449680. Its totient is φ = 80341632.

The previous prime is 205638031. The next prime is 205638047. The reversal of 205638040 is 40836502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205638047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58059 + ... + 61498.

Almost surely, 2205638040 is an apocalyptic number.

205638040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205638040 is an abundant number, since it is smaller than the sum of its proper divisors (267811640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205638040 is a wasteful number, since it uses less digits than its factorization.

205638040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119611 (or 119607 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 205638040 is about 14340.0850764561. The cubic root of 205638040 is about 590.2479471120.

The spelling of 205638040 in words is "two hundred five million, six hundred thirty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 119557 239114 478228 597785 956456 1195570 2391140 4782280 5140951 10281902 20563804 25704755 41127608 51409510 102819020 205638040